Just answer the question. Are Christians who believe in free will, which would be the vast majority of Christians, saved or aren't they?
This clearly addresses your question.
Here is the passage that you brought cited very recently, in order to refresh precisely where this discussion is at the moment.
"I do not ask on behalf of these alone, but for those also who believe in Me through their word; that they may all be one; even as You, Father, [are] in Me and I in You, that they also may be in Us, so that the world may believe that You sent Me. The glory which You have given Me I have given to them, that they may be one, just as We are one; I in them and You in Me, that they may be perfected in unity, so that the world may know that You sent Me, and loved them, even as You have loved Me. Father, I desire that they also, whom You have given Me, be with Me where I am, so that they may see My glory which You have given Me, for You loved Me before the foundation of the world. O righteous Father, although the world has not known You, yet I have known You; and these have known that You sent Me; and I have made Your name known to them, and will make it known, so that the love with which You loved Me may be in them, and I in them" (John 17:20-26).
See that earlier in the Christ's prayer, Lord Jesus said "I do not ask on behalf of the world" (John 17:9). CLEARLY, JESUS IS NOT ASKING FOR EVERYBODY.
The Lord immediately adds "but of those whom You have given Me" (John 17:9). CLEARLY JESUS IS SPECIFICALLY ASKING FOR THE WE PEOPLE WHOM THE FATHER HAS GIVEN TO JESUS.
According to Free-willian theology, several flaws manifest based on unscriptural assumptions/additions and/or subtractions:
A) the Free-willian person imagines making a choice toward Jesus thus they imagine "giving" themselves to Jesus WHICH IS CONTRARY TO THE WORD OF GOD IN JOHN 17:9.
B) the Free-willian person imagines their option to select Jesus without the foreknowledge of God; in other words, the Free-willian does not believe that they are predestined by God to be God's; in other words, God does not know who will choose God and who will not choose God.
B - continued) There is a fatal flaw with this Free-willian point.
B - continued) Scripture states that all "whose names" (Revelation 13:8) "been written in the book of life from the foundation of the world" (Revelation 17:8) shall come into the new Jerusalem (Revelation 21:2, Revelation 21:27); THEREFORE, GOD KNOWS THE NAMES OF EVERY PERSON THAT GOD WILL SAVE AND HAS SAVED FROM THE FOUNDATION OF THE WORLD!
C) Throughout the passage of John 17:20-26 that you posted, you imagine the phrase "choose to believe", YET THE WORD "CHOOSE" AND IT'S CONJUGATES ARE ABSENT.
C - continued) The phrase "choose to believe" does not occur in Scripture ANYWERE IN THE BIBLE.
C - continued) The phrase "choose to believe" by a mere man is brazenly contradictory to the LORD JESUS'S WORDS OF "YOU DID NOT CHOOSE ME" IN JOHN 15:16.
C - continued) The phrase "choose to believe" by a mere man is brazenly contradictory to the Lord Jesus's words of "This is the work of God, that you believe in Him whom He has sent" in John 6:29 IN WHICH LORD JESUS DEFINES BELIEF/FAITH IN GOD AS THE WORK OF GOD.
D) Time to focus on "THROUGH THEIR WORD" within the phrase "those also who believe in Me through their word" within the sentence "I do not ask on behalf of these alone, but for those also who believe in Me through their word" (John 17:20).
D - continued) The supper covered in John chapters 13 - 17 is part of JOHN'S WORD.
D - continued) The words of Jesus in John 17:20 and John 15:16 occur at the supper.
D - continued) The supper covered in John chapters 13 - 17 is part of JESUS' WORD - THE WORD OF GOD!
D - continued) THEREFORE, THE WORDS OF JESUS "YOU DID NOT CHOOSE ME, BUT I CHOSE YOU" (JOHN 15:16) APPLY TO ALL WHO BELIEVE ON CHRIST BECAUSE IT IS PART OF "THROUGH THEIR WORD" (JOHN 17:20) - SPECIFICALLY THE APOSTLE JOHN'S WORD.
D - continued) FURTHERMORE, JESUS SAYS "YOU ARE MY FRIENDS" AND TALKS AT LENGTH ABOUT BEING FRIENDS WITH HIS FOLLOWERS IN JOHN 15:13-15, SO THIS APPLIES TO ALL WHO BELIEVE ON CHRIST BECAUSE IT IS PART OF "THROUGH THEIR WORD" (JOHN 17:20) - SPECIFICALLY THE APOSTLE JOHN'S WORD.
D - continued) The friend of Jesus passage (John 15:13-15) immediately precedes the words of Jesus, Lord and God (John 20:28), of "you did not choose Me, but I chose you" (John 15:16); THEREFORE, DENIAL OF EITHER JOHN 15:16-19 OR JOHN 15:13-15 AUTOMATICALLY DENIES THE OTHER PASSAGE BECAUSE IN BOTH JESUS TALKS TO "YOU".
D - continued) Lord Jesus said "I chose you out of the world" (John 15:19), and WITH THIS LORD JESUS INTRICATELY TIES SALVATION WITH HIS CHOOSING BETWEEN JOHN 15:19 AND JOHN 15:16.
As the evidence clearly indicates, Jesus Christ is not praying for Free-willians.
We Christians do not practice lawlessness by adding to, subtracting from, nor denying the Word of God (Matthew 7:21-23, Matthew 7:26-27).
We Christians abide in the Word of God (Matthew 7:24-25), and we are secure in the Hand of Christ Jesus (John 10:28).
Only we people that God raises according to God's rules are saved such as God does the choosing for Christ says "you did not choose Me, but I chose you" (John 15:16).
God can open the eyes of Free-willians to understand salvation in man is entirely a work of God by God's grace for God's glory - that it is not a work by man - that it is not a choice by a man because a choice is a work by man. A Free-willian that beholds such Truth would cease being a Free-willian.